Evaluate b(x)=18-0.5x
b(-2)=
b(0)=
b(5)=

The figure that shows that ST || QR is the first figure

For lines ST and QR to be parallel they have equal distance form the base  of the triangle.

Taking the ratio of the distances from the apex we have

PS / SQ = PT /TR

The figure that has it's ratio equal is the figure that the lines  ST and QR are parallel

Checking the first figure gives

= PS / SQ

= 7.5 / 17.5

= 0.428571

Also

= PT /TR

= 8.7 / 20.3

= 0.428571

since the ratio is equal the two lines are parallel in the

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Answer:I’m not sure what the second one is

Step-by-step explanation:

the number chosen by Janet was 9 .

An equation is a statement in which the values of two mathematical expressions are equal. These statements consist of constants and variables. Constants are values that never change. Variables like y or x represent unknown numerical values. Nonlinear equations are equations that appear as curved lines when you graph them. After plotting pairs of values that make the equation true on a coordinate grid, you can't draw a straight line between the points.

from the question given we can come to an equation that is

2( x+7) - 4 = 28

if the number chosen by Janet is x

lets find x

2x + 14 - 4 = 28

2x = 18

x = 9

therefore the number chosen by Janet was 9 .

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For the given discrete data series,

Median = 4'7"

Mode = 4'8"

Range = 1'3"

To begin with, let us arrange the given discrete data series in ascending order as follows:

3'7"     3'11"    4'3"    4'6"      4'7"      4'7"     4'8"      4'8"      4'8"     4'9"   4'10"

To identify the median, locate the data point that stands exact at midpoint of the series. It is the sixth entry from left and hence median = 4'7"

To identify the mode, count and identify which data points occurs highest in frequency. 4'8" is mode as it occurs highest number of times (3 times) in the series.

To calculate the range, we subtract the last entry. Thus Range = 4'10" - 3'7" = 1'3"

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Answer: I pretty sure that the answer is -169

Step-by-step explanation: Because it's going to need the minus symbol and I don't think -2,197 because it is a huge number HOPE THIS HELPS!!!

The value of the expression (−13)³ when evaluate is equal to -2,197.

As given in the question,

Given expression is equal to  :

( -13 )³

Property used while evaluating the expression:

( - )  × ( - ) = ( + )

( + ) × ( - ) = ( - )

Evaluate the given expression ( -13 )³ value we get,

( -13 )³

Multiply first two terms we get :

= ( -13 ) × ( -13 ) × ( -13 )

= ( 169 ) × ( -13 )

Now , multiply 169 to (-13 ) the value we get

= ( -2, 197 )

Therefore, the value of the expression (−13)³ when evaluate is equal to -2,197.

The complete question is:

What is the value of (−13)³ when evaluated?

a. −169

b. 39

c. −2,197

d. 2,197

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The distance that the boat travel is 17.5 miles per hour.

A boat travels upstream on a Mississippi river for 3.5 hours and the return trip takes 2.5 hours

The boat travels 2 miles per hour faster downstream

Let y = the speed that was traveled upsteam.

This will be illustrated as

3.5y = 2.5(y + 2)

3.5y = 2.5y + 5

3.5y - 2.5y = 5

y = 5

Therefore the distance travelled by the boat upstream will be:

= 3.5 × 5

= 17.5 miles per hour

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Answer:

24 inches

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]18^{2}[/tex] + [tex]b^{2}[/tex] = [tex]30^{2}[/tex]

324 + [tex]b^{2}[/tex] = 900

[tex]b^{2}[/tex] = 576

[tex]\sqrt{b^{2} }[/tex] = [tex]\sqrt{576}[/tex]

b  = 24

Answer:

24 inches

Step-by-step explanation:

Since the size of the screen is measured from the lower corner to the opposite upper corner.

therefore it forms a right angled triangle.

given hypotenuse is 30inch

the height is 18 inches

using the Pythagorean theorem

[tex] {hypotense}^{2} = {width}^{2} + {height}^{2} [/tex]

then

[tex] {30}^{2} = {width}^{2} + {18}^{2} \\ 900 = {width}^{2} +324[/tex]

Subtract 324 from both sides

[tex]576 = {width}^{2} \\ width = \sqrt{576} = 24 \: \: inches[/tex]

The equation for three consecutive integers whose sum is 36 is n + (n+1) + (n+2) = 306.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Whole numbers that follow one another without a gap are known as consecutive integers.

Given the sum of three consecutive integers = 306

Let the integers be n, n+1, n+2

Then, n + (n+1) + (n+2) = 306

⇒3n + 3 = 306

⇒n = 303/3

⇒n = 101

Hence, n+1 = 102 and n+2 = 103

Therefore, the equation for three consecutive integers whose sum is 36 is n + (n+1) + (n+2) = 306.

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Answer:

y=2x

Step-by-step explanation:

hope this helps

:) :3

If she priced scooter for $15.50 and ended up selling it for $10.75, then the percentage of decrease in the price of the scooter is 30.64%

The initial price of the scooter = $15.50

The selling price of the scooter = $10.75

The amount decrease in the price of the scooter = Initial price of the scooter - The selling price of the scooter

= 15.50-10.75

= $4.75

The percent of decrease in the price of the scooter = (The amount decrease in the price of the scooter ÷ The initial price of the scooter)×100

= (4.75/15.50)×100

= 30.64%

Hence, if she priced scooter for $15.50 and ended up selling it for $10.75. then the percentage of decrease in the price of the scooter is 30.64%

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Answer:

$17.64

Step-by-step explanation:

Multiply 7.84 by 2.25

7.84 x 2.25 = 17.64

Answer:

$17.64

Step-by-step explanation:

1 pound salmon = 7.84

2.25 (2 1/4) pound salmon = 17.64

Order from least to greatest is 2% ,0.2,[tex]\frac{7}{25}[/tex] ,[tex]\sqrt{2}[/tex],2×10¹

The area of mathematics known as algebra aids in the representation of circumstances or problems as mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in all areas of mathematics, including trigonometry, calculus, and coordinate geometry. 2x + 4 = 8 is a straightforward algebraic expression. In algebra, symbols are used, and operators are used to connect the symbols to one another. It is more than just a mathematical idea; it is a skill that we all utilize on a regular basis without even being aware of it.

Order from least to greatest is 2% ,0.2,[tex]\frac{7}{25}[/tex] ,[tex]\sqrt{2}[/tex],2×10¹

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Speed of car is 5 m/sec

What is speed?

In ordinary language and kinematics, an object's speed is defined as the magnitude of its position change over time or the magnitude of its position change per unit of time; it is therefore a scalar number. The distance traveled by an item in a time interval is divided by the duration of the period; the instantaneous speed is the limitation of the average speed as the length of time period tends to zero. Velocity is not the same as speed. Distance divided by time is the dimension of speed. The metre per second (m/s) is the SI unit of speed, while the kilometre per hour (km/h) is the usual unit.

The speed of the car = 1.5/5 km/min = 0.3 km/min

Speed in m/sec = 0.3x1000/60 = 5m/sec

Hence, speed of car = 5 m/sec

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Inserting brackets to make the statement true 10 + 2 x 3^2 - 2 = 84 will be (10 + 2) × (3² - 2).

It should be noted that the information simply means that one had to put the bracket in the appropriate places on order to get the value of 84.

This will be illustrated thus:

= 10 + 2 × 3² - 2

= (10 + 2) × (3² - 2)

= 12 × (9 - 2)

= 12 × 7

= 84

Therefore, the expression is true.

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The probability of randomly selecting an order and getting the order that is used in the spelling​ bee is  0.001388888

Given we have the following:

Number of students in the spelling bee = 6

Number of ways selecting a student in the spelling bee = 6!

The probability of randomly selecting an order and getting the order that is used in the spelling bee :

P(selecting the correct spelling bee order) = 1/6!

= 1/6*5*4*3*2*1

= 1/720

= 0.001388888

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Boys to girls

3 : 5

? : 35

35/5 = 7

5 x 7 gives number of girls.

So, 3 x 7 will give number of boys, which is 21

Thus, there are 21 boys

(basically, you find the number you multiplied by 5 to get 35, then, multiplying that number on the other side, which was 3 in this case. )

Hope this helps!

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The odd function is

y = sin x

y = cos x

A function f is deemed weird if f(-x) Equals -f for any value of x. (x). A function is said to be an even function if f(-x) = f for any value of x. (x).

What do odd functions entail?

The meaning of odd function

T function where the absolute value does not change if the independent variable's sign is reversed but the sign of the function itself does.

If f(-x) = -f for any number x, a function f is considered strange (x). When f(-x) = f for any number x, a function is referred to as an even function (x). Even while most functions are neither odd nor even, some of the most significant functions are.

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Answer:

A. y = sin x

B. y = csc x

C. y = tan x

Step-by-step explanation:

Answer:

4 books

Step-by-step explanation:

Let b equal the number of books.

[tex]5 + 3.50b = 19[/tex]

[tex]3.50b = 14[/tex]

[tex]b = 4[/tex]

надеюсь что объяснила точно и нормально

Answer: a

Step-by-step explanation:

i think the answer is a

25000 in mutual funds

50000 in CD

Pool of money managed by a professional Fund Manager is termed mutual fund. It is a trust that collects money from other investors who have a common investment objective and invests the same in equities and bonds.

Let X be the amount in Mutual Funds

Y be the amount in CDs

the constraints:

Y = 2x

x>9000

Y = 75000 - x

There has to be at least 2x + x = 75000

                                       3x = 75000

                                        x = 25000

Objective function for the return of investment is R(x,y) = 0.06X + 0.07Y

After graphing linear equations and inequalities, the vertices of the critical region are as:

(9000,18000) --> 1710

(25000,50000)  ---> 4750

(75000,0) --> 3750

25000 in mutual funds

50000 in CD

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Answer:

-8, -6, -4, -1, 3

Step-by-step explanation:

Hope it helps! =D

Answer:

Step-by-step explanation:

what is the mean of 21,23,19,23,and 21?

Find the sum of the values by adding them all up. Divide the sum by the number of values in the data set.

(21+23+19+23+21) : 5 =

107 : 5 =

21.4 (or 107/5)

Answer:

Based on the given conditions, formulate: 235000×(1+1-4%)

Calculate the sum or difference:235000×(2-0.04)

Calculate the sum or difference:235000×1.96

Calculate the product or quotient:460600

get the result:460600

So the answer is 460600

Answer:

£ 253,484.16

Step-by-step explanation:

Cost of house for first year = £235,000

Year 1

Depreciation for first year  is 4% = 4/100

Depreciation in £ = 235,000 x 4/100 = £9,400

Effective value of house at end of first year
= 235000 - 9400 = £225,600

Year 2

In the second year the house  value increased by 6% = 6/100

So total increase in £ at the end of year 2 with an initial value of £225,600 = £225,600 x 6/100 = £13,536

So actual value of house at end of year 2
= £225,600 + £13,536
= £239,136

Year 3

The value increased by 6% for year 3.

Value at beginning of year 3 = £239,136

Increase in value at 6% = £239,136 x 6/100 = £14,348.16

Total Value at end of year 3

=  £239,136 + £14,348.16

= £253,484.16

Answer: £253,484.16

Note
Another way of quickly calculating this is noting that 4% depreciation means the new value is  (1 - 4%) of initial value = 1 - 4/100 = 0.96

An increase of 6% means the new value will be 1.06 times the initial value

So the value of the house after 4% depreciation for the first year and 6% appreciation for the next  2 years

= 235000 x (0.96)(1.06)(1.06) = 253,484.16

Answer:

10/11

Step-by-step explanation:

count how many cups and then what ones have water and milk